An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the center of circle?
[Take \pi = 22/7]
A
25.7o
B
44o
C
51.43o
D
98o
E
114.55o
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
L = 14cm, r = 7cm; \(\theta\)= ?
L = \(\frac{\theta}{360}\) x 2\pir
14= \(\frac{\theta\}{360}\) x 2\pi(7)
\(\theta = \frac{360 \times 14}{44}\)
=114.55^\circ
Source: Myschool Past Questions Archive (Record #22356)